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a, -121 - [-35 - x] = 50
<=> -35 - x = -121 - 50
<=> -35 - x = -171
<=> x = -171 + [-35] = -206
Vậy x = -206
b, 17 + x - [352 - 400] = -32
<=> 17 + x - [-48] = -32
<=> 17 + x + 48 = -32
<=> 17 + x = -32 - 48
<=> 17 + x = -80
<=> x = -80 - 17
<=> x = -97
Vậy x = -97
c, 2130 - [x + 130] + 72 = -64
<=> 2130 - [x + 130] = -64 - 72
<=> 2130 - [x + 130] = -136
<=> x + 130 = 2130 - [-136]
<=> x + 130 = 2130 + 136
<=> x + 130 = 2266
<=> x = 2266 - 130 = 2136
d, |x| - 5 = -1
<=> |x| = -1 + 5
<=> |x| = 4
<=> x = 4 hoặc x = -4
e, |x+ 2| - 12 = -1
<=> |x + 2| = -1 + 12
<=> |x + 2| = 11
<=> x + 2 = 11 hoặc x + 2 = -11
<=> x = 11 - 2 hoặc x = -11 - 2
<=> x = 9 hoặc x = -13
f,g Tương tự
a) -121 - (-35 - x) = 50
-121 + 35 + x = 50
x - 86 = 50
x = 50 + 86
x = 136
b) 17 + x - (352 - 400) = -32
17 + x - 352 + 400 = -32
x + 65 = -32
x = -32 - 65
x = -97
c) 2130 - (x + 130) + 72 = -64
2130 - x - 130 + 72 = -64
2072 - x = -64
-x = -64 - 2072
-x = -2136
x = 2136
d) |x| - 5 = -1
|x| = -1 + 5
|x| = 4
x = 4; -4
e) |x + 2| - 12 = -1
|x + 2| = -1 + 12
|x + 2| = 11
x + 2 = 11; -11
x + 2 = 11 hoặc x + 2 = -11
x = 11 - 2 x = -11 - 2
x = 9 x = -13
f) 135 - |9 - x| = 35
-|9 - x| = 35 - 135
-|9 - x| = -100
|9 - x| = 100
9 - x = 100; -100
9 - x = 100 hoặc 9 - x = -100
x = 100 + 9 x = -100 + 9
x = 109 x = -91
2130 - ( x + 130 ) + 72 = - 64
2202 - ( x + 130 ) = - 64
x + 130 = 2202 + 64
x + 130 = 2266
x = 2266 + 130
x = 2396
\(|x|-5=-1\)
\(|x|=-1+5\)
\(|x|=4\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
\(|x+2|-12=-1\)
\(|x+2|=-1+12\)
\(|x+2|=11\)
\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=11-2\\-x=-11-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}\)
135 - ( 9 - x ) = 35
135 - 9 + x = 35
126 + x = 35
x = 35 - 126
x = - 91
15 - ( -x + 18 ) = - 24
15 + x - 18 = - 24
- 3 + x = -24
x = - 24 + 3
x = - 21
a/ 2130-(x+130)+72=-64
\(2130-\left(x+130\right)=-64-72\) \(2130-\left(x+130\right)=-136\)\(x+130=2130+136\)\(x+130=2266\)\(x=2266-130\)\(x=2136\)vậy x=2136
a/ 2130-(x+130)+72=-64
<=> -x-130+72+2130=-64
<=> x=2130+72-130+64=2136
b/135-|9-x|=35
<=> |9-x|=135-35=100
<=> \(\left[\begin{array}{nghiempt}9-x=100\\9-x=-100\end{array}\right.\)
<=>\(\left[\begin{array}{nghiempt}x=-91\\x=109\end{array}\right.\)
c/10-|x+3|=-4-(-10)
<=> |x+3|=10+4+(-10)
<=>|x+3|=4
<=>\(\left[\begin{array}{nghiempt}x+3=4\\x+3=-4\end{array}\right.\)
<=>\(\left[\begin{array}{nghiempt}x=1\\x=-7\end{array}\right.\)
TL
a) 5x + 20 = 110
<=> x = 90 : 5 = 18
b) x + 18 = - 13
<=> x = - 31
c) 120 - x = 50
<=> x = 70
d) 10 - x = -29
<=> x = 39
e) - x + 31 = 61
<=> x = -30
f) -85 - x = --70
<=> x = 15
Khi nào rảnh vào kênh H-EDITOR xem vid nha!!! Thanks!
a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)
b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)
c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)
d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)
e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)
f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)
g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)
h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)
i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)
k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)
a) (-x + 31 ) - 39 = -69 => -x + 31 = -69 + 39 => -x = -30 + 31 => -x = -61 => x = 61
b) -121 - ( 35 - x ) = 50 => 35 - x = -121 - 50 => x = 35 - ( -171 ) => x = 206
c) 17 + x - ( 352 - 400 ) = -32 => 17 + x + 48 = -32 => x = -32 - 48 - 17 => x = -97
d) 2130 - ( x + 130 ) + 72 = -64 => 2130 - ( x + 130 ) = -64 - 72 => x + 130 = 2130 - ( -136 ) => x = 2266 - 130 => x = 2136
e) | x | - 5 = -1 => | x | = -1 + 5 => | x | = 4 => x = 4
f) | x + 2 | - 13 = -1 => | x + 2 | = -1 + 13 => x + 2 = 12 => x = 12 - 2 => x = 10
=> x + 2 = -12 => x = -12 - 2 => x = -14
g) 135 - | 9 - x | = 35 => | 9 - x | = 135 - 35 => 9 - x = 100 => x = 9 - 100 => x = -91
=> 9 - x = -100 => x = 9 - (-100) => x = 109
h) || x - 5 | - 3| = 9 => | x - 5 | - 3 = 9 => | x - 5 | = 9 + 3 => x - 5 = 12 => x = 12 + 5 => x = 17
=> x - 5 = -12 => x = -12 + 5 => x = -7
=> | x - 5 | - 3 = -9 => | x - 5 | = -9 + 3 => | x - 5 | = -6 ( loại )